Michael Entov: Connecting trajectories of Hamiltonian flows

The talk, based on a joint work with L.Polterovich, will address the following basic question of Hamiltonian dynamics: given a (time-dependent) Hamiltonian, is there a trajectory of its flow connecting two given sets? I will discuss a new method of proving the existence of such chords, based on an old construction of Mohnke who used it at the time to prove Arnold's Chord Conjecture, and various open questions related to it.